I'm not aware of any open admission shelters or city animal control facilities that are involved in the receiving end of transport networks. I don't really know anything about the West Coast rescue scene and can't speak to those, but that is not how it works in my city.the problem is, the shelter isn't giving dog Y a chance to get adopted by anyone. Dog Y gets brought into the shelter as an owner turn in or when its stray hold time is over. Instead of going to the adoption floor, Dog Y is euthanized so that they have space to bring in 100+ dogs that they can adopt out quickly.
Meanwhile, the shelters at the beginning of the line aren't doing any checking to see where the dogs are actually going. All they care is that the dogs are out of their facility. Out of sight, out of mind. In the story posted, many of the dogs are going to even worse situations than they started in.